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... it is possible to test whether a black-box distribution Pf (defined by some f : [n] → [m]) is close to uniform. We actually prove that this can be even done tolerantly in a sense, meaning that a distribution that is close to uniform in both L1 and L∞ norms is accepted with high probability. Toleranc ...
... it is possible to test whether a black-box distribution Pf (defined by some f : [n] → [m]) is close to uniform. We actually prove that this can be even done tolerantly in a sense, meaning that a distribution that is close to uniform in both L1 and L∞ norms is accepted with high probability. Toleranc ...
Uncertainty Principle Tutorial part II
... eigenstate of the operator B̂ . Thus, we can prove that any eigenstate of the operator B̂ must also be an eigenstate of  if their eigenvalue spectra are non-degenerate. Therefore, the complete set of eigenstates ...
... eigenstate of the operator B̂ . Thus, we can prove that any eigenstate of the operator B̂ must also be an eigenstate of  if their eigenvalue spectra are non-degenerate. Therefore, the complete set of eigenstates ...
Holographic Quantum Error Correcting Codes - Adrian Franco
... is a rank-one projector on the one-dimensional subspace generated by |ψi. Depending on what system we are dealing with, the space of states will have different aspect. For example, if we consider a particle which can move in one dimension, its space of states is spanned by the states {|xi}x∈R , wher ...
... is a rank-one projector on the one-dimensional subspace generated by |ψi. Depending on what system we are dealing with, the space of states will have different aspect. For example, if we consider a particle which can move in one dimension, its space of states is spanned by the states {|xi}x∈R , wher ...
What quantum computers may tell us about quantum mechanics
... (For mixed states, this definition can be extended by requiring inseparability of the density matrix.) But this definition is misleading. While the right-hand side of eqn (17.5) certainly cannot be expressed as a direct product state of the spins, the lefthand side of the equation, describing the sa ...
... (For mixed states, this definition can be extended by requiring inseparability of the density matrix.) But this definition is misleading. While the right-hand side of eqn (17.5) certainly cannot be expressed as a direct product state of the spins, the lefthand side of the equation, describing the sa ...
A Hierarchical Approach to Computer-Aided Design of
... However, our gate design methods are for general quantum circuits, with arbitrary unitary matrices. The presented methods can be specialized to some classes such as fcontrolled-phase-shift gate circuits [25], and generalized to multiple-valued quantum logic [30] and mixed multiple-valued logic. The ...
... However, our gate design methods are for general quantum circuits, with arbitrary unitary matrices. The presented methods can be specialized to some classes such as fcontrolled-phase-shift gate circuits [25], and generalized to multiple-valued quantum logic [30] and mixed multiple-valued logic. The ...
- Natural Sciences Publishing
... vanishes in the asymptotic limit, this means that in this region (N(ρ ) = 0) the entanglement between the atom and the field is completely destroyed, and the total state of the system disentangled in a finite time and goes to a vacuum state. Finally, Fig. 2(c) presents the von Neumman entropy S(ρ ) ...
... vanishes in the asymptotic limit, this means that in this region (N(ρ ) = 0) the entanglement between the atom and the field is completely destroyed, and the total state of the system disentangled in a finite time and goes to a vacuum state. Finally, Fig. 2(c) presents the von Neumman entropy S(ρ ) ...
Quantum Interaction Approach in Cognition, Artificial Intelligence
... [46], [47] cannot model this ‘typicality effect’. Hampton identified a Guppy-like effect for the membership weights of exemplars with respect to both the conjunction [43] and the disjunction [44] of pairs of concepts. Several experiments have been performed (see, e.g., [48]) and many approaches have ...
... [46], [47] cannot model this ‘typicality effect’. Hampton identified a Guppy-like effect for the membership weights of exemplars with respect to both the conjunction [43] and the disjunction [44] of pairs of concepts. Several experiments have been performed (see, e.g., [48]) and many approaches have ...
Quantum Computing with Quantum Dots
... out how grotesque a misuse of the english language this name is [8]. Information processing is performed on an array of qubits through a series of two-qubit and single-qubit gates. This process is similar to how boolean bits are operated on by logic gates in classical computing. There are several qu ...
... out how grotesque a misuse of the english language this name is [8]. Information processing is performed on an array of qubits through a series of two-qubit and single-qubit gates. This process is similar to how boolean bits are operated on by logic gates in classical computing. There are several qu ...
